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40380894124032 = 2113711314364033
BaseRepresentation
bin10010010111001111010001…
…10110011001100000000000
312021222101010221102022122110
421023213220312121200000
520243100032343432112
6221514420543135320
711335265125504320
oct1113475066314000
9167871127368573
1040380894124032
1111959494007030
1246421078a4540
13196bb95848147
149d8635023280
154a05ee11513c
hex24b9e8d99800

40380894124032 has 768 divisors, whose sum is σ = 141774595522560. Its totient is φ = 9913997721600.

The previous prime is 40380894124031. The next prime is 40380894124049. The reversal of 40380894124032 is 23042149808304.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×403808941240322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40380894124031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 630594288 + ... + 630658320.

It is an arithmetic number, because the mean of its divisors is an integer number (184602337920).

Almost surely, 240380894124032 is an apocalyptic number.

40380894124032 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40380894124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70887297761280).

40380894124032 is an abundant number, since it is smaller than the sum of its proper divisors (101393701398528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40380894124032 is a wasteful number, since it uses less digits than its factorization.

40380894124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64150 (or 64130 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 40380894124032 in words is "forty trillion, three hundred eighty billion, eight hundred ninety-four million, one hundred twenty-four thousand, thirty-two".